maths w/b 8th june monday maths day one
TRANSCRIPT
Maths w/b 8th June
Monday Maths Day One
L.I To round whole and decimal numbers
Here are the important rules of rounding? If the number is a 5 or more - round up If the number is a 4 or below - round down ALWAYS LOOK AT THE COLUMN(s) TO THE RIGHT!
Method to help you round
Step 1: arrow the column you are rounding to and circle the column to the right Step 2: Cover the numbers that are not relevant Step 3: Think about the 1/100, 1/10, 1. 10,100, 1000 above or below Step 4: Apply the rules and round! Don't forget to put back in place the numbers you had covered
Task One
Round these numbers to the nearest 10
a) 8,567b) 134,765c) 332,567d) 833,099e) 5,678,978
Round these numbers to the nearest 100
a) 87,644b) 239,509c) 333,588d) 8,957,564e) 1,982,435f) 7,345,005
Round these numbers to the nearest 1000
a) 89,909b) 645,609c) 23,456,875d) 382,345e) 9,129,999f) 76,844,667
Round the following numbers to the nearest whole number
There should be NO digits after the decimal point Look at the tenths- if the digit is greater or equal to 5 you round up the unit. If it is less than 5 drop it.
Round these to the nearest whole number
a) 230.6b) 66.8c) 50.9d) 422.4e) 507.2f) 0.7g) 9.3h) 56.3
Rounding to 1 decimal place (1dp)
This means that only one digit should be after the decimal place LOOK: 43.27 1. Look at the hundredths column, if the digit is equal to orgreater than 5 round UP the tenths digit.If the digit is less than 5 DROP IT.
a) 3.45b) 65. 78c) 698.34d) 345.69e) 89.08f) 101.98g) 758.23h) 9974.66
Round these to 1dp
Rounding to 2 decimal places (2dp)
There should be 2 digits after the decimal point. Look at the thousandths column- if the digit is greater or equal to 5 you round up the hundredths column. If it less than 5 you drop it
So 56.737.... 56.74
.
Rounding to 2 dp
a) 607.314b) 12.670c) 60.115d) 723.753e) 304.338f) 1.938g) 378.456h) 923.959
Extension for today
1
Tuesday Maths Day Two
L.I. To read, write, order and compare numbers up to at least 10,000,000 (ten million) and say the value of each digit
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56,709 65,070
How do you know which number is greater?By looking at the place value columns
H T 1sTHTTHHTH ths
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>
HintLook at the first digit. Are they the same? If no, it's easy. If they are then look to the next place
value column. You must line them up underneath each other.For example:
4547
Insert the correct sign answer on next slide
Task 1: Write out the whole calculation:1) 259 2992) 3660 3605 3) 47,904 47,750 4) 100,096 100,9605) 4,040,345 4,023,5676) 6789 7834 7) 1.2 2.18) 1,345,535 1, 345,353 9) 57.08 57.310) 7899 526611) 78.89 87.9812) 4.6 4.2813) 1.11 11.1
Extension:
a=10 b=2 c= 6 d= 30
1. axb c/b2. b(axc) b(a/b)3. d/cxb d/a x b4. a2+ b2 b3 x d5. (b+c)+a d (cb)
>><<
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>
How many did you get right?
Task 1: Write out the whole calculation:1) 259 2992) 3660 3605 3) 47,904 47,750 4) 100,096 100,9605) 4,040,345 4,023,5676) 6789 7834 7) 1.2 2.18) 1,345,535 1, 345,353 9) 57.08 57.310) 7899 526611) 78.89 87.9812) 4.6 4.2813) 1.11 11.1
Extension:
a=10 b=2 c= 6 d= 30
1. axb c/b2. b(axc) b(a/b)3. d/cxb d/a x b4. a2+ b2 b3x d5. (b+c)+a d (cb)
>><<
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There are two mathematical terms are there for numbers which increase and decrease in size?
Ascending Descending
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Practice saying these in the right orderCheck in the next slide
1) 44,223 44,322 44,323 44,233
2) 0.1 0.11 0.10 1.0 1.00 1.11
3) 1,233 12.33 123.3 1233 0.123
Put in Ascending order
Put these in descending ordera) 1 1.1 11 1. 11 0.11 0.01 b) 1/2 20% 0.4 60/100
60/100 1/2 0.4 20%11 1.11 1.1 1 0.11 0.01
c) 2cm 2inches 2mm 0.2m e) 1hr 150mins 1/4 hour 1/2 day 18000sec
0.2m 2inches 2cm 2mm
Extension:
1/2 day 18000sec 150min 1hr 1/4hr
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Did you get them right?
1) 44,223 44,233, 44,322 44,323
2) 0.1 0.10 0.11 1.0 1.00 1.11
3) 0.123 12.33 123.3 1233 1,233
Put in Ascending order
Put these in descending ordera) 1 1.1 11 1. 11 0.11 0.01 b) 1/2 20% 0.4 60/100
60/100 1/2 0.4 20%11 1.11 1.1 1 0.11 0.01
c) 2cm 2inches 2mm 0.2m e) 1hr 150mins 1/4 hour 1/2 day 18000sec
0.2m 2inches 2cm 2mm
Extension:
1/2 day 18000sec 150min 1hr 1/4hr
Task 1 1) 259 2992) 3660 3605 3) 47,904 47,7504) 100,096 100,960 5) 4,040,345 4,023,567 6) 6789 78347) 1.2 2.1 8) 1,345,535 1, 345,353 9) 57.08 57.3 10) 7899 526611) 78.89 87.98 12) 4.6 4.28 13) 1.11 11.1
Task 2: Write these numbers in ascending order.
6410 4605 5406 6504 5640
56 762 59 342 56 745 56 321
30 333 3033 3003 3003 2998
6.4 6.04 6.41 61.4 6.14
123.8 123.288 123.18 123.118 123.08 123.808
10.01 1.01 100.01 10.11 101.01
Day 2 work
Task 3: Number sentences Use the following symbols < > =
1) 566 + 653 799 + 234 2)53 x 5 17 x 12 3) 47x 6 68 x 29 4) 75 – 33 7894 – 336 5) 56 ÷ 7 783 ÷ 9
Task 4: BODMAS Write the correct sign >, < or = in each of the following.
a) (10 + 5) – 9 (10 + 9) – 5 b) 3 × (4 + 5) (3 × 4) + 5 c) (10 × 4) ÷ 2 10 × (4 ÷ 2) d) 4 x 5 ÷ 4 45 x (34 x 22) e) 45 x 3 + 4 66 ÷ 6 - 3
Challenge
Using the digits 1,2,3,4,5,6,7,8,9 as many times as you can, come up with 12 pairs of numbers which when placed together will give you an answer which is a multiple of 3
For example 1, 2 = 12 3,6 = 36.
Once you have found all 12, then place the numbers in ascending order.
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L.I : To recognise negative numbers in context and calculate the diffidencebetween negative and positive integers
Can you order these negative and positive integers?ascending order
What's the difference between the largest and smallest number?
2513 -25-1 -10answer on the next page
Wednesday: Day three
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Where in the world would you find negative numbers?
answers on next slide
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Places where would you find negative numbers?
in a lift
weather
depth
money
to show below sea level
temperature
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Using a number line can help you add and subtract positive and negative numbers
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When finding the difference between positive and negative numbers, what are you being asked to do?
-13 8From negative to positive, you are crossingthe 0To break up your maths, you could count to 0 and then beyond
013 8
The difference will always be a whole number answer
if you see it like a sum, you will get -13+8= -5
Remember, difference between + and - will always cross 0
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Find the difference between -5 and 8.
What are you being asked to do?
10 2 3 4 5 6 7 8 9 1012345678910
5 8
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Now complete the worksheet on negative numbers. Check and mark them with the answer sheet
Task 3
Here is a chart of temperatures. Can you work out the differences between each of the cities for every day of the week
Complete this chart
Days of the week London and Sydney London and Helsinki Sydney and Helsinki Monday Tuesday Wednesday Thursday Friday
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L.I Problem solving using place value
This week, within place value,you have looked at:rounding numbersordering numbersnegative numbers
Use your knowledge to solve these word problems
Thursday: Day four
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2. Dora has the number 824,650
She subtracts forty thousand from her number.
She thinks her new number is 820,650
Is she correct?
Explain how you know.
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3. Use the digit cards and statements to work out my number.
• The ten thousands and hundreds have the same digit.• The hundred thousand digit is double the tens digit.• It is a sixdigit number.• It is less than six hundred and fiftyfive thousand.
Is this the only possible solution?
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4. Eva has ordered eight 6digit numbers.
The smallest number is 345,900
The greatest number is 347,000
All the other numbers have a digit total of 20and have no repeating digits.
What are the other six numbers?
Can you place all eight numbers in ascending order?
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Whitney rounded 2,215,678 to the nearest million and wrote 2,215,000
Can you explain to Whitney what mistake she has made?
7.
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Tommy says, “My number rounds to 16,000 to the nearest 1,000”
Alex says, “My number has one hundred.”
Jack says, “ My number is 15,990 when rounded to the nearest 10”
Dora says, “My number is 15,000 when rounded to the nearest 1,000”
Can you work out which child has which card?
8.
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A company decided to build offices over ground and underground. Do you agree? Explain why.
9.
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10. When countingforwards in tens fromany positive onedigitnumber,the last digit neverchanges.
When counting backwards in tens from any positive onedigit number, the last digit does change.
Can you find examples to show this?
Explain why this happens.